This paper demonstrates that the property of 'replication invariance', generally considered to be an innocuous requirement for the extension of fixed-population poverty comparisons to variable-population contexts, is incompatible with other plausible variable- and fixed-population axioms.
Hassoun, N.; Subramanian, S. On Some Problems of Variable Population Poverty Comparisons. UNU-WIDER, Helsinki, Finland (2010) 10 pp. ISBN 978-92-9230-309-9 [WIDER Working Paper No. 2010/71]